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12220220010222 = 23271371407150311
BaseRepresentation
bin1011000111010011110111…
…0111110110111011101110
31121021020112010212201211100
42301310331313312323232
53100204002310311342
641553520325103530
72400611305141440
oct261647567667356
947236463781740
1012220220010222
113991625684a54
12145443ab57ba6
136a8491b58943
14303667296490
15162d215bde4c
hexb1d3ddf6eee

12220220010222 has 96 divisors (see below), whose sum is σ = 30483237417984. Its totient is φ = 3465690883200.

The previous prime is 12220220010211. The next prime is 12220220010223. The reversal of 12220220010222 is 22201002202221.

12220220010222 is a `hidden beast` number, since 1 + 2 + 220 + 220 + 0 + 1 + 0 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12220220010195 and 12220220010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220220010223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242868447 + ... + 242918757.

It is an arithmetic number, because the mean of its divisors is an integer number (317533723104).

Almost surely, 212220220010222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220220010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15241618708992).

12220220010222 is an abundant number, since it is smaller than the sum of its proper divisors (18263017407762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12220220010222 is a wasteful number, since it uses less digits than its factorization.

12220220010222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64534 (or 64531 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12220220010222 its reverse (22201002202221), we get a palindrome (34421222212443).

The spelling of 12220220010222 in words is "twelve trillion, two hundred twenty billion, two hundred twenty million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 822 959 1233 1918 2466 2877 5754 8631 14071 17262 28142 42213 50311 84426 98497 100622 126639 150933 196994 253278 295491 301866 352177 452799 590982 704354 886473 905598 1056531 1772946 1927727 2113062 3169593 3855454 5783181 6339186 6892607 11566362 13494089 13785214 17349543 20677821 26988178 34699086 40482267 41355642 48248249 62033463 80964534 96496498 121446801 124066926 144744747 242893602 289489494 434234241 707926081 868468482 1415852162 2123778243 4247556486 4955482567 6371334729 9910965134 12742669458 14866447701 29732895402 44599343103 89198686206 96985873097 193971746194 290957619291 581915238582 678901111679 872872857873 1357802223358 1745745715746 2036703335037 4073406670074 6110110005111 12220220010222